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Finding the Third Proportional to 14,311.69 and 30,891.38

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Solution

The third proportional to 14,311.69 and 30,891.38 is: 66,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.69 : 30,891.38 = 30,891.38 : x
  2. Step 2: Convert to fraction form
    14,311.69/30,891.38 = 30,891.38/x
  3. Step 3: Cross multiply
    14,311.69x = 30,891.38 × 30,891.38
  4. Step 4: Simplify right side
    14,311.69x = 954,277,049.39
  5. Step 5: Solve for x
    x = 954,277,049.39/14,311.69
  6. Step 6: Final answer
    x = 66,678.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.